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Finding the Fourth Proportional to 323.94, 483.22 and 313.28

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Solution

The fourth proportional to 323.94, 483.22 and 313.28 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 483.22 = 313.28 : x
  2. Step 2: Convert to fraction form
    323.94/483.22 = 313.28/x
  3. Step 3: Cross multiply
    323.94x = 483.22 × 313.28
  4. Step 4: Simplify right side
    323.94x = 151,383.16
  5. Step 5: Solve for x
    x = 151,383.16/323.94
  6. Step 6: Final answer
    x = 467.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.